On certain applications of the Hadamard product

In this paper, we give an extension of the Özkan and Altintaş results [Ö. Özkan, O. Altintaş, Applications of differential subordination, Appl. Math. Lett. 19 (2006) 728–734] on the inclusion relationships involving various subclasses of analytic and univalent functions, defined in terms of linear operators. We show that these classes are closed under convolution with convex functions.